Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Chapter P.1, Problem 45E
Solution

a.

The algebraic property illustrated by the equation 3xy=3xy .

Associate property of multiplication.

Given:

The equation is, 3xy=3xy

Concept Used:

  • Associative property of multiplication abc=abc .

Calculation:

Note that the given expression 3xy=3xy is of the form of 3xy=3xy .

Hence, it illustrates the associative property of multiplication.

b.

The algebraic property illustrated by the equation a2b=ba2 .

Commutative property of multiplication.

Given:

The equation is, a2b=ba2

Concept Used:

  • Commutative property of multiplication ab=ba .

Calculation:

Note that the given expression a2b=ba2 is of the form of a2b=ba2 .

Hence, it illustrates the commutative property of multiplication.

c.

The algebraic property illustrated by the equation a2b+a2b=0 .

Additive inverse property

Given:

The equation is, a2b+a2b=0

Concept Used:

  • The additive inverse of a number n is given by the same number with opposite sign and the sum of the number and its additive inverse is 0, that is, n+n=0 .

Calculation:

Note that the given expression a2b+a2b=0 is of the form of n+n=0 .

Hence, it illustrates the additive inverse property.

d.

The algebraic property illustrated by the equation x+32+0=x+32 .

Additive identity property

Given:

The equation is, x+32+0=x+32

Concept Used:

  • The number 0 added to any number does not change the number. It is known as additive identity.

Calculation:

Note that in the given expression x+32+0=x+32 , 0 added to the expression on the left side and it remains unchanged.

Hence, it illustrates the additive identity property.

e.

The algebraic property illustrated by the equation ax+y=ax+ay .

Distributive property of multiplication over addition

Given:

The equation is, ax+y=ax+ay

Concept Used:

  • Distributive property, ab+c=ab+ac .

Calculation:

Note that the given expression ax+y=ax+ay is of the form of ab+c=ab+ac .

Hence, it illustrates the distributive property of multiplication over addition.

Chapter P Solutions

Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition

Ch. P.1 - Prob. 1ECh. P.1 - Prob. 2ECh. P.1 - Prob. 3ECh. P.1 - Prob. 4ECh. P.1 - Prob. 5ECh. P.1 - Prob. 6ECh. P.1 - Prob. 7ECh. P.1 - Prob. 8ECh. P.1 - Prob. 9ECh. P.1 - Prob. 10ECh. P.1 - Prob. 11ECh. P.1 - Prob. 12ECh. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - Prob. 17ECh. P.1 - Prob. 18ECh. P.1 - Prob. 19ECh. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - Prob. 22ECh. P.1 - Prob. 23ECh. P.1 - Prob. 24ECh. P.1 - Prob. 25ECh. P.1 - Prob. 26ECh. P.1 - Prob. 27ECh. P.1 - Prob. 28ECh. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Prob. 42ECh. P.1 - Prob. 43ECh. P.1 - Prob. 44ECh. P.1 - Prob. 45ECh. P.1 - Prob. 46ECh. P.1 - Prob. 47ECh. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - Prob. 50ECh. P.1 - Prob. 51ECh. P.1 - Prob. 52ECh. P.1 - Prob. 53ECh. P.1 - Prob. 54ECh. P.1 - Prob. 55ECh. P.1 - Prob. 56ECh. P.1 - Prob. 57ECh. P.1 - Prob. 58ECh. P.1 - Prob. 59ECh. P.1 - Prob. 60ECh. P.1 - Prob. 61ECh. P.1 - Prob. 62ECh. P.1 - Prob. 63ECh. P.1 - In Exercises 63 and 64, use scientific notation to...Ch. P.1 - Prob. 65ECh. P.1 - Prob. 66ECh. P.1 - Prob. 67ECh. P.1 - Prob. 68ECh. P.1 - Prob. 69ECh. P.1 - Prob. 70ECh. P.1 - Prob. 71ECh. P.1 - Prob. 72ECh. P.1 - Prob. 73ECh. P.1 - Prob. 74ECh. P.1 - Prob. 75ECh. P.1 - Prob. 76ECh. P.2 - Prob. 1QRCh. P.2 - Prob. 2QRCh. P.2 - Prob. 3QRCh. P.2 - Prob. 4QRCh. P.2 - Prob. 5QRCh. P.2 - Prob. 6QRCh. P.2 - Prob. 7QRCh. P.2 - Prob. 8QRCh. P.2 - Prob. 9QRCh. P.2 - Prob. 10QRCh. P.2 - Prob. 1ECh. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - Prob. 4ECh. P.2 - Prob. 5ECh. P.2 - Prob. 6ECh. P.2 - Prob. 7ECh. P.2 - Prob. 8ECh. P.2 - Prob. 9ECh. P.2 - Prob. 10ECh. 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